Among the affected cities are Pavlohrad, Kryvyi Rih and Dnipro, reports the public service company Suspilne.
In Dnipro, at least four people have been killed in Russian attacks, according to local authorities.
"The Russian attack on the city last night claimed four lives," the governor of the Dnipropetrovsk region wrote on Telegram.
Even in the country's capital Kyiv, air raid sirens sounded during the night.
